   Chapter 10.5, Problem 31E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In Exercises 27 to 32, use graphing to find the point of intersection of the two lines. Use Example 8 as a guide. 4 x + 3 y = 18 and x - 2 y = 10 .

To determine

Find the point of intersection of the two lines 4x+3y=18 and x-2y=10 using graphs.

Explanation

The slope m and the y intercept b of a line y=mx+b are used to graph the given equations.

Rearrange 4x+3y=18 into y=mx+b as follows,

Move 4x to the right side of the equation.

So,

3y=-4x+18

y=-4x+183

y=-4x3+183

y=-43x+6

The graph of y=-43x+6 is a line with y-intercept b=6 and slope m=-43

Rearrange x-2y=10 into y=mx+b as follows,

Move x to the right side of the equation

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